Solve Equations, Systems of Equations and Inequalities

Free Tutorials on how to solve equations, system of equations and inequalities using step by step approach with examples, detailed solutions and more exercises are presented.

Solve Equations in One Variable

• Equations. What is an equation? What are the solutions or roots of an equation? What are equivalent equations? The addition and multiplication properties of equalities are also reviewed.



• Solving Literal Equations - Tutorial. What is a literal equation and how to solve it? Several examples with detailed solutions and exercises with answers are presented.



• Solve Equations With Square Root. Tutorial with examples and exercises and detailed explanations.



• Solve Equations With Cube Root. Tutorial with examples and exercises. Detailed solutions provided



• Solving Linear Equations - Tutorial. Tutorial on how to solve linear equations.



• Proof of the Quadratic Formulas. Tutorial on how to prove the quadratic formulas using the method of completing the square.



• Solve Quadratic Equations Using Discriminants (1) and the answers to the matched exercises.



• Solve Quadratic Equations Using Discriminants (2) and the detailed Solutions to the matched exercise.



• Solve Quadratic Equations by Factoring. A tutorial with many examples and detailed solutions on how to solve quadratic equations by factoring.



• Quadratic Equations - Problems (1) and the detailed solutions to the matched problems.
  
  
• Equations of the Quadratic Form and the answers to the matched exercises.



• Equations with Absolute Value and the answers to the matched exercises.



• Equations with Rational Expressions - Tutorial. Tutorial, with detailed explanations, on how to solve equations with rational expressions.



• Solve Equations by Substitution. The powerful method of substitution is used to solve different types of equations.
  
  





Solve Inequalities in One Variable

• Solve Linear Inequalities. A tutorial with examples and detailed solutions. Double inequalities and inequalities with fractional expressions are also included.



• Tutorial on Inequalities. Tutorial on solving polynomial and rational inequalities.



• Rational Inequalities. A tutorial with examples and detailed solutions on solving rational inequalities.



• Inequalities With Absolute Value - Tutorials. Solving inequalities with absolute value with detailed solutions and explanations.



• Polynomial Inequalities - Tutorial. Tutorial on polynomial inequalities with examples and detailed solutions.



• Quadratic Inequalities. Solve quadratic inequalities analytically using the discriminant.
  
  

  Solve Systems of Linear Equations

• Systems of Linear Equations. Tutorial on solving 2 by 2 systems of linear equations.
  




Solve Quadratic Equations and Inequalities Graphically

• Solve Quadratic Equations Graphically. An applet is used to explore the solutions to quadratic equations graphically.
  
  
• Solve Quadratic Inequalities Graphically. An applet is used to explore the solution set to a quadratic inequalities graphically.
  
  

  Graphical Solutions to Equations

• Solve Equations Graphically. Explore solving equations graphically.